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Finding the Fourth Proportional to 14,709.34, 20,298.90 and 8,421.76

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Solution

The fourth proportional to 14,709.34, 20,298.90 and 8,421.76 is: 11,622.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.34 : 20,298.90 = 8,421.76 : x
  2. Step 2: Convert to fraction form
    14,709.34/20,298.90 = 8,421.76/x
  3. Step 3: Cross multiply
    14,709.34x = 20,298.90 × 8,421.76
  4. Step 4: Simplify right side
    14,709.34x = 170,952,464.06
  5. Step 5: Solve for x
    x = 170,952,464.06/14,709.34
  6. Step 6: Final answer
    x = 11,622.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.